Which of the following is a subset of set A?
A: {children between the ages of 3 and 7}
a.children over 7
b.children3 years old
c.children of all ages
d.children under 3
Are children over 7 included in children 3 to 7?
Are 3-year-olds included in that group?
Does the group include children of all ages?
Does the group include children under age 3?
We'll be glad to check your answer.
To determine which of the options is a subset of set A, we need to understand the definition of a subset. A subset is a set that contains only elements that are also found in another set.
Set A consists of "children between the ages of 3 and 7," which means it includes children who are at least 3 years old and up to and including 7 years old.
Now let's look at each option and see if it meets the criteria:
a. "Children over 7" refers to children who are older than 7. Since set A only includes children up to and including 7 years old, this option is not a subset of set A.
b. "Children 3 years old" refers to children who are exactly 3 years old. Since set A includes children who are at least 3 years old, this option is a subset of set A.
c. "Children of all ages" refers to children of any age, including those older than 7 or younger than 3. Since set A specifically includes children between the ages of 3 and 7, this option is not a subset of set A.
d. "Children under 3" refers to children who are younger than 3. Since set A includes children who are at least 3 years old, this option is not a subset of set A.
Therefore, the correct answer is b. "Children 3 years old," as it is the only option that is a subset of set A.